Limit cycles and chaos in planar hybrid systems

被引：1

作者：

Llibre, Jaume ^{[1
]}

Santana, Paulo ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matematiques, Fac Ciencies, Barcelona 08193, Spain

[2] IBILCE UNESP, BR-15054000 Sao Paulo, Brazil

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2025年 / 140卷

基金：

巴西圣保罗研究基金会;

关键词：

Hybrid dynamical systems; Limit cycles; Chaos;

D O I：

10.1016/j.cnsns.2024.108382

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the family of planar hybrid differential systems formed by two linear centers and a polynomial reset map of any degree. We study their limit cycles and also provide examples of these hybrid systems exhibiting chaotic dynamics.

引用

页数：13

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